Relating the pseudospin symmetry back to Dirac equation through framework of relativistic Hartree-Bogoliubov (RHB) theory, approximation in real nuclei is discussed. From equation, mechanism behind was studied and shown be connected with competition between centrifugal barrier (CB) orbital potential (PSOP), which mainly decided by derivative difference scalar vector potentials. With potentials derived from a self-consistent calculation, its energy dependence

Based on the relativistic continuum Hartree-Bogoliubov theory, pseudospin approximation in exotic nuclei is investigated Zr and Sn isotopes from proton drip line to neutron line. The quality of shown be connected competition between pseudocentrifugal barrier orbital potential (PSOP). PSOP depends derivative difference scalar vector potentials $dV/dr.$ If $dV/dr=0,$ symmetry exact. found a good for normal become much better with highly diffuse potential, which have $dV/dr\ensuremath{\sim}0.$...

We found the hidden symmetry of pseudospin approximation which is inherent in Dirac equation both for spherical potential and deformed with axially symmetric shape. For cases, we two kinds conditions, i.e., an exact condition approximate symmetry. The former not always satisfied real nuclei, but latter realistic applicable to nuclei.

We apply alternative representations of Holstein-Primakoff boson expansion to the particle-rotor model as useful probes test stability and physical contents exact solution. The diagonal with total single-particle angular momenta along same axis (longitudinal case) two perpendicular axes (transverse are employed according system rigid or hydrodynamical moments inertia (MoI). longitudinal case gives normal wobbling mode for MoI, but does not give a stable solution MoI. transverse applied MoI...

An extensive application of the Holstein-Primakoff boson expansion to both single-particle angular momentum and total provides an algebraic solution, which gives a good approximation exact results for particle-rotor model with one high-j nucleon coupled triaxially deformed core. Two kinds quantum numbers classify rotational bands characteristic lead selection rules interband intraband transitions. The solution is compared experimental data odd mass isotopes $^{163,165,167}\mathrm{Lu}$ as...

The approximate selection rules for the interband and intraband electromagnetic transitions are predicted referring to two quantum numbers, which derived from an algebraic solution particle-rotor model with one high$\ensuremath{-}j$ nucleon coupled a triaxially deformed core. It is shown that inclusion of angular momentum dependence moments inertia reproduces experimental excitation energies relative reference quite well both positive negative parity TSD bands in ${}^{161,163,165,167}$Lu.

We reply to the preceding Comment.Received 26 February 2018DOI:https://doi.org/10.1103/PhysRevC.97.069802©2018 American Physical SocietyPhysics Subject Headings (PhySH)Research AreasCollective levelsCollective modelsNuclear structure & decaysProperties150 ≤ A 18990 149Nuclear Physics

Based on the particle-rotor model with one particle coupled to a triaxially deformed rotor, experimental excitation energy relative reference ${E}^{*}\ensuremath{-}\mathit{aI}(I+1)$ and ratio between interband intraband electromagnetic transitions are well reproduced for $^{167}\mathrm{Ta}$ $\ensuremath{\gamma}={19}^{\ifmmode^\circ\else\textdegree\fi{}}$. The same parameter set angular-momentum-dependent rigid-body moments of inertia attains good agreement data positive-parity triaxial,...

The equations for the pseudospin pair levels become of same form as those spin at limit where derivatives potentials are zero. However, centrifugal terms four amplitudes among eight components in have pseudo-${l}_{z},$ while pair-levels natural ${l}_{z}.$ When both and symmetries well satisfied, there appears a triple degeneracy. relativistic mean-field calculation over ${}^{154}\mathrm{Sm}$ gives [400]1/2, [402]3/2, [402]5/2 such candidate. relation between deformed wave function spherical...

The conditions for the pseudospin symmetry hidden in Dirac equation are found case of deformed potential both from large and small components wave function. numerical analysis based on relativistic mean-field theory is carried out ${}^{154}\mathrm{Sm}.$ It confirmed that function satisfied better than those its components. As long as these satisfied, appears amplitudes with unnatural ${l}_{z}$ $(z$ component orbital angular momentum)

Microscopic calculations are carried out for the giant dipole resonances excited on thermal high spin states in 162Er and 166Er based linear response theory with realistic forces large single-particle space. The dynamical strength function is compared experimental γ-ray absorption cross section. general trend that resonance energy decreases width increases increasing angular momentum temperature well reproduced by calculations.

The thermal linear response theory with the inclusion of non-Markovian effect is formulated based on cranked Hartree-Fock-Bogoliubov (THFB) theory. We propose proper strength function which suitable to be compared γ-ray spectra from giant resonances at high spin and temperature. A clarification given relation between stability condition THFB solution equation in random phase approximation (TRPA).

The top-on-top model with angular-momentum-dependent moments of inertia is extended to the tops-on-top for an odd-odd nucleus, where one proton and neutron in each single-|$j$| orbital are coupled triaxial rotor. For a pure rotor case, explicit algebraic formula triaxial, strongly deformed (TSD) band levels given, its stability problem discussed. Both positive negative parity TSD bands well reproduced by taking account attenuation factors Coriolis interaction proton–neutron recoil term....